Apps

TalentJR apps

How the apps work →
Free · Class 6–8 · 6 worksheets · answer keys · practise online · set 41

Linear equations worksheets — simple equations, Class 6 to 8

Free linear equations in one variable worksheets: one-step and two-step simple equations (Class 6–7), variables on both sides and brackets (Class 8), and word problems — with answers.

💡 Learn it first

⚖️ The worksheets

🔄 New set of questions

One-step equations (+ and −) (Class 6)One-step equations (× and ÷) (Class 6–7)Two-step equations (Class 7)Equations with brackets (Class 7–8)Variables on both sides (Class 8)Equation word problems (Class 7–8)

One-step equations (+ and −)

Class 6 · Worksheet 1 · set 41
Name:Date:Score:    / 12

Solve.

  1. n − 16 = 6
  2. n + 21 = 46
  3. x − 17 = 6
  4. m + 18 = 31
  5. p + 5 = 7
  6. p + 15 = 20
  7. 12 + n = 26
  8. 7 + y = 25
  9. 5 + y = 21
  10. 19 + x = 21
  11. p + 20 = 24
  12. p − 13 = 14

One-step equations (× and ÷)

Class 6–7 · Worksheet 2 · set 41
Name:Date:Score:    / 12

Solve.

  1. n/3 = 6
  2. p/5 = 14
  3. 5m = 20
  4. m/7 = 4
  5. 9p = 117
  6. x/5 = 9
  7. n/4 = 12
  8. m/9 = 14
  9. 6x = 60
  10. 8n = 48
  11. m/2 = 5
  12. p/4 = 7

Two-step equations

Class 7 · Worksheet 3 · set 41
Name:Date:Score:    / 12

Solve.

  1. 9n − 2 = 88
  2. 6p + 18 = 54
  3. 2n − 2 = 6
  4. 2n + 5 = 19
  5. 4m + 9 = 57
  6. 7m − 17 = 60
  7. 6n − 16 = 44
  8. 2y − 16 = 2
  9. 5m + 12 = 72
  10. 3m + 6 = 42
  11. 3n − 17 = 16
  12. 5n + 12 = 42

Equations with brackets

Class 7–8 · Worksheet 4 · set 41
Name:Date:Score:    / 10

Solve.

  1. 3(m − 6) + 1 = 4
  2. 5(y + 5) = 60
  3. 2(m − 3) + 11 = 23
  4. 2(x + 1) = 22
  5. 3(y + 7) = 57
  6. 3(m − 7) + 4 = 19
  7. 6(y − 9) + 2 = −34
  8. 6(n − 9) + 4 = −2
  9. 5(n − 9) + 9 = 19
  10. 3(y − 1) + 2 = 26

Variables on both sides

Class 8 · Worksheet 5 · set 41
Name:Date:Score:    / 10

Solve.

  1. 9n − 12 = 7n − 8
  2. 8x − 8 = 7x − 3
  3. 9n − 7 = n + 1
  4. 3m + 9 = 2m + 13
  5. 3y − 10 = 2y − 9
  6. 3n + 12 = 2n + 9
  7. 8y + 5 = 4y − 27
  8. 9x − 5 = 5x + 7
  9. 4y − 5 = y + 19
  10. 5n + 15 = 3n + 5

Equation word problems

Class 7–8 · Worksheet 6 · set 41
Name:Date:Score:    / 6

Form an equation and solve.

  1. A father is 3 times as old as his son. The sum of their ages is 44 years. Find their ages.
  2. The length of a rectangle is 1 cm more than its width. Its perimeter is 78 cm. Find the length and the width.
  3. The length of a rectangle is 6 cm more than its width. Its perimeter is 28 cm. Find the length and the width.
  4. I think of a number, multiply it by 5 and add 8. The answer is 108. What is the number?
  5. Ravi has ₹26 more than Asha. Together they have ₹170. How much money does Asha have?
  6. I think of a number, multiply it by 2 and add 9. The answer is 19. What is the number?

More worksheets

🔤 Algebraic expressions worksheet📉 Linear equations in two variables➕➖ Integers worksheet Noun worksheetsPronoun worksheetsArticles worksheetTenses worksheetPrepositions worksheetSubtraction worksheets All worksheets

Questions

What is a linear equation in one variable?

An equation with one letter whose highest power is 1, such as 3x + 4 = 19. It has exactly one solution.

How do I solve word problems on simple equations?

Call the unknown x, write the sentence as an equation (“3 times a number plus 5 is 26” → 3x + 5 = 26), solve it, then check the answer in the story.

Are these worksheets free?

Yes — print them or save as PDF free. Every worksheet has an answer key.

How do I get different questions?

Press “🔄 New set” — the questions change (maths numbers are new every time; English sentences are shuffled).

How do I print only one worksheet?

Press “🖨️ Print” on that worksheet. Tick “with answer key” if you want the answers on a second page.

Can my child do this worksheet online, like a quiz?

Yes — press “▶️ Practise online” on any worksheet. The questions come one at a time with instant marking, a score at the end and a review of mistakes. No sign-in is needed.